Search a number
-
+
47236444080 = 2435731378963
BaseRepresentation
bin101011111111100000…
…101110111110110000
311111220222200222120220
4223333200232332300
51233220012202310
633411120533040
73261364102260
oct537740567660
9144828628526
1047236444080
111903a817641
1291a3481180
1345ba362937
1424016b57a0
151366e58670
hexaff82efb0

47236444080 has 160 divisors (see below), whose sum is σ = 167423998464. Its totient is φ = 10792255488.

The previous prime is 47236444067. The next prime is 47236444081. The reversal of 47236444080 is 8044463274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (47236444081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5265679 + ... + 5274641.

Almost surely, 247236444080 is an apocalyptic number.

47236444080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47236444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83711999232).

47236444080 is an abundant number, since it is smaller than the sum of its proper divisors (120187554384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47236444080 is a wasteful number, since it uses less digits than its factorization.

47236444080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12123 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 47236444080 in words is "forty-seven billion, two hundred thirty-six million, four hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3137 6274 8963 9411 12548 15685 17926 18822 21959 25096 26889 31370 35852 37644 43918 44815 47055 50192 53778 62740 62741 65877 71704 75288 87836 89630 94110 107556 109795 125480 125482 131754 134445 143408 150576 175672 179260 188220 188223 215112 219590 250960 250964 263508 268890 313705 329385 351344 358520 376440 376446 430224 439180 501928 527016 537780 627410 658770 717040 752880 752892 878360 941115 1003856 1054032 1075560 1254820 1317540 1505784 1756720 1882230 2151120 2509640 2635080 3011568 3764460 5019280 5270160 7528920 15057840 28116931 56233862 84350793 112467724 140584655 168701586 196818517 224935448 281169310 337403172 393637034 421753965 449870896 562338620 590455551 674806344 787274068 843507930 984092585 1124677240 1180911102 1349612688 1574548136 1687015860 1968185170 2249354480 2361822204 2952277755 3149096272 3374031720 3936370340 4723644408 5904555510 6748063440 7872740680 9447288816 11809111020 15745481360 23618222040 47236444080